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Money Changers

Two men have a certain amount of money.  The first says to the second, "If you give me 5 denari, I will have 7 times what you have left." The second says to the first, "If you give me 7 denari, I will have 5 times what you have left." How much money does each have?

Ragionamenti d'algebra (Algebraic Reasoning), R. Canacci, c. 1495

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"Money Changers," Convergence (July 2006)